Hee Jung Kim, PhD

Visiting Professor

Research Interests:

Low Dimensional Topology; Surfaces in 4-manifolds, Knot theory

Educational & Professional Experience:

Ph.D. in Mathematics,  Brandeis University

Recent Publications

  • “Equivariant hyperbolization of 3-manifolds via homology cobordisms”, with Dave Auckly, Paul Melvin, and Daniel Ruberman, Topology Appl. 333 (2023), Paper No. 108485, 24pp.
  • “Topological spines of 4-manifolds”, with Daniel Ruberman, Algebraic & Geometric Topology 20 (2020), no. 7, 3589-3606
  • “Infinite families of homologous 2-spheres in 4-manifolds” with Dave Auckly, Paul Melvin, and Daniel Ruberman, in preparation
  • “Isotopy of surfaces in 4-manifolds after a single stabilization” with Dave Auckly, Paul Melvin, Daniel Ruberman, and Hannah Schwartz, Advances in Mathematics 341 (2019), 609–615
  • “Knotted surfaces in 4-manifolds by Knot surgery and stabilization”, Transactions of the American Mathematical Society 371, n.12 (2019), 8405–8427
  • “Equivariant corks”, with Dave Auckly, Paul Melvin, and Daniel Ruberman, Algebraic & Geometric Topology 17 (2017), 1771–1783
  • “Stable isotopy in four dimensions”, with Dave Auckly, Paul Melvin, and Daniel Ruberman, Journal of the London Mathematical Society 91(2015), 439–463
  • “Double point surgery and configurations of surfaces”, with Daniel Ruberman, Journal of Topology 4(3) (2011), 573–590
  • “Smooth Surfaces with Non-simply-connected Complements”, with Daniel Ruberman, Algebraic & Geometric Topology 8 (2008), 2263–2287
  • “Topological Triviality of Smoothly Knotted Surfaces in 4-Manifolds”, with Daniel Ruberman, Transactions of the American Mathematical Society 360 (2008), 5869-5881
  • “Modifying Surfaces in 4-Manifolds by Twist Spinning”, Geometry & Topology 10 (2006), 27–56